Optimal Control Strategies for a Mathematical Model of Pneumonia Infection

Round 1

Reviewer 1 Report

Comments and Suggestions for Authors

In the manuscript “Optimal Control Strategies for a Mathematical Model of Pneumonia Infection”, the authors formulate and analyze a deterministic mathematical model describing the transmission dynamics of pneumonia. A comprehensive stability analysis is conducted for both the disease-free and endemic equilibrium points. The condition for the locally and globally asymptotically stable of disease-free equilibrium is depicted as well as the endemic equilibrium. The results provide valuable insights into the control of pneumonia and highlight the potential impact of strategic public health interventions. The topic is interesting. However, some problems listed as follows should be revolved.

1. In the keywords, “Stability” should be “stability”.
2. What is the meaning of generalizing the model proposed by Mumbu by replacing the bilinear incidence with a saturated incidence rate of the form βSI/(1+mI )? Please the Biological meaning.
3. In the section” 4. Backward Bifurcation Analysis”, the bifurcation diagram should be given to match the title and the bifurcation parameter should be pointed.
4. In the section ”5. Optimal Control Strategies”, How is optimization reflected in the control strategy?

 

Comments on the Quality of English Language

 The quality of English language should be improved.

Author Response

"Please see the attachment."

Author Response File: Author Response.pdf

Reviewer 2 Report

Comments and Suggestions for Authors

See the report to improve the paper.

Comments for author File: Comments.pdf

Author Response

"Please see the attachment."

Author Response File: Author Response.pdf

Reviewer 3 Report

Comments and Suggestions for Authors

The topic is meaningful, and the results are correct. I recommend the authors make some revisions. Please see the attachments in detail.

In addition, I recommend that the author carefully review the article for grammatical errors to ensure the accuracy and clarity of the English translation.

Comments for author File: Comments.pdf

Author Response

"Please see the attachment."

Author Response File: Author Response.pdf

Round 2

Reviewer 2 Report

Comments and Suggestions for Authors

The indications were followed during this revised version.